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Debye
The debye (symbol: D) (; ) is a CGS unit (a non-SI metric unit) of electric dipole moment named in honour of the physicist Peter J. W. Debye. The debye is still used in atomic physics and chemistry because SI units have until recently been inconveniently large. wikipedia.org
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Debye
Debye (dəˈbaɪ) The name of P. J. W. Debye (1884–1966), Dutch physicist, used attrib. to designate certain phenomena observed and principles enunciated by him, as Debye effect (see quots.); Debye–Hückel theory, a theory concerned with the inter-ionic forces in electrolytes; Debye–Scherrer method, a m... Oxford English Dictionary
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Debye (disambiguation)
Debye Debye may also refer to: Peter Debye (1884–1966), Dutch physicist, physical chemist and Nobel laureate in Chemistry 30852 Debye, a main-belt asteroid named after Peter Debye Debye (crater), a lunar crater named after Peter Debye List of things named after Peter Debye See also De Bie (more common form wikipedia.org
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Debye (crater)
Debye is a lunar impact crater that is located in the northern hemisphere on the Moon's far side, as seen from the Earth. References External links Digital Lunar Orbiter Photo Number V-053-H2 Impact craters on the Moon Peter Debye wikipedia.org
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Leibniz rule of integration applied to Debye heat capacity The quantity $C_V = \dfrac{\partial U}{\partial T}$ is called the heat capacity in physics, where $U$ is a function of temperature $T$ and other variables. Fo...
Both results are indeed consistent, it all comes down to an integration by parts, Starting from the textbook result, we can integrate by parts, $$\int_0^{x_D}\frac{T^3x^4e^x}{(e^x-1)^2}dx = \frac{-x^4 T^3}{(e^x-1)}\Big|_0^{x_D}+\int_0^{x_D}\frac{4T^3 x^3}{e^x - 1}dx.$$ Now we rewrite the first term,...
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Debye model
Debye frequency The Debye frequency (Symbol: or ) is a parameter in the Debye model. Relation to Debye's temperature The Debye temperature , another parameter in Debye model, is related to the Debye frequency by the relation where is wikipedia.org
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How to find the real or imaginary part of an equation involving complex numbers? I am currently using the Debye model and need to find the real and imaginary parts of the equation. The Debye equation is $$ \epsilon_\...
Assuming all symbols are real except for the complex unit. Then the second term is fine; consider the first: \begin{eqnarray} \frac{\epsilon_{s}-\epsilon_{\infty}}{1+i\frac{\omega \epsilon}{\sigma}} &=& \frac{\epsilon_{s}-\epsilon_{\infty}}{1+i\frac{\omega \epsilon}{\sigma}}\frac{i}{i}\\\ &=& \frac{...
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Debye sheath
Due to Debye shielding, the scale length of the transition region will be the Debye length . The Debye sheath is the transition from a plasma to a solid surface. wikipedia.org
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How to do integral $\int_{0}^{\infty} \frac{x^4 e^{x}}{(e^x-1)^2}\,dx$ $$\int_{0}^{\infty} \frac{x^4 e^{x}}{(e^x-1)^2}\,dx$$ This integral came from the Debye theory of the molecular heat capacity of crystal. I hear...
The Riemann/Gamma way:$$\int_0^\infty\frac{x^4e^{-x}dx}{(1-e^{-x})^2}=\sum_{n\ge 1}n\int_0^\infty x^4e^{-nx}dx=\sum_{n\ge 1}\frac{4!}{n^4}=24\zeta(4)=\frac{4\pi^4}{15}.$$
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Debye function
In mathematics, the family of Debye functions is defined by The functions are named in honor of Peter Debye, who came across this function (with n = 3 Applications in solid-state physics The Debye model The Debye model has a density of vibrational states for with the Debye frequency ωD. wikipedia.org
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Peter Debye Award
The Peter Debye Award in Physical Chemistry is awarded annually by the American Chemical Society "to encourage and reward outstanding research in physical The award is named after Peter Debye and granted without regard to age or nationality. Recipients 2020 Laura Gagliardi 2019 Daniel M. wikipedia.org
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科学网—电介质迷思-(11) 唯美的Debye方程 - 陈湘明的博文
电介质迷思 - (11) 唯美的 Debye 方程. 许久未写电介质迷思了，并非无思，实为思之过甚、不敢随意而写。. 旧疑问尚未悟透，新疑问接踵而至，故而继续迷思。. 因近几年持续关注多铁性材料与钨青铜氧化物铁电相变与低温介电弛豫，同时也在给材料系本科生讲授 ...
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Debye–Hückel theory
The Debye–Hückel theory was proposed by Peter Debye and Erich Hückel as a theoretical explanation for departures from ideality in solutions of electrolytes This is known as the Debye–Hückel limiting law. wikipedia.org
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WikiPredia - 德拜-休克尔理论
在德拜-休克尔理论，提出了由彼得·德拜和埃里希·休克尔作为在溶液从理想出发的理论解释电解质和等离子体。[1] [2] [3]它是一个线性化的泊松-玻尔兹曼模型，它假设了一个极其简化的电解质溶液模型，但仍然准确预测了稀溶液中离子的平均活度系数。在德拜-休克尔方程为电解质溶液的非理想的 ...
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为什么碳酸钾的碱性比碳酸钠强？
这个找本分析化学或者物理化学教材就有，或者看看常见的模型，比如Debye-Hückel 的离子氛模型和Pitzer 模型。 从离子间相互作用或活度的角度来讨论这个问题比较绕。而且同摩尔浓度的碳酸钠碳酸钾稀溶液拿pH计去测也就差零点零几到零点几，低浓度时差距很小。 补充：Debye-Hückel 理论里水溶液中的“近似有效离子半径”和晶体/结构化学里讨论的“原子/离子半径”不同，指的是分子动力学半径或者用水合离子半径。有效离子半径确实是钾离子更小。 zhihu
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